{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Visualizing attention on self driving car"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So far we have seen many examples of attention and activation maximization on `Dense` layers that outputs a probability distribution. What if we have a regression model instead?\n",
    "\n",
    "In this example, we will use a pretrained self driving car model that predicts the steering angle output. This model is borrowed from https://github.com/experiencor/self-driving-toy-car. Here is the model in action."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a href=\"https://www.youtube.com/watch?v=-v6q2dNZTU8\" rel=\"some text\"><p align=\"center\">![Link to video](https://img.youtube.com/vi/-v6q2dNZTU8/0.jpg)</p></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets load the model, weights etc and make a prediction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicted -0.934291124344\n"
     ]
    },
    {
     "data": {
      "image/png": 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XZ0wxkHkBctIiJp81V8XSgIM8ODUth2lLOoLcUQjTDoHnHaXam29w2ckZGHPy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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5c504fce90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from model import build_model, FRAME_W, FRAME_H\n",
    "from keras.preprocessing.image import img_to_array\n",
    "from vis.utils import utils\n",
    "\n",
    "model = build_model()\n",
    "model.load_weights('weights.hdf5')\n",
    "img = utils.load_img('images/left.png', target_size=(FRAME_H, FRAME_W))\n",
    "plt.imshow(img)\n",
    "\n",
    "# Convert to BGR, create input with batch_size: 1.\n",
    "bgr_img = utils.bgr2rgb(img)\n",
    "img_input = np.expand_dims(img_to_array(bgr_img), axis=0)\n",
    "pred = model.predict(img_input)[0][0]\n",
    "print('Predicted {}'.format(pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good. The negative value is indicative of left steering."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Attention"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default, `visualize_saliency` and `visualize_cam` use positive gradients which shows what parts of the image increase the output value. This makes sense for categorical outputs. For regression cases, it is more interesting to see what parts of the image cause the output to:\n",
    "\n",
    "- Increase\n",
    "- Decrease\n",
    "- Maintain\n",
    "\n",
    "the current predicted value. This is where `grad_modifiers` shine.\n",
    "\n",
    "- To visualize decrease, we need to consider negative gradients that indicate the decrease. To treat them as positive values (as used by visualization), we need to to negate the gradients. This is easily done by using `grad_modifier='negate'`.\n",
    "- To visualize what is responsible for current output, we need to highlight small gradients (either positive or negative). This can be done by using a grad modifier that performs `grads = np.abs(1. / grads)` to magnify small positive or negative values. Alternatively, we can use `grad_modifier='small_values'` which does the same thing.\n",
    "\n",
    "Lets use this knowledge to visualize the parts of the image that cause the car to increase, decrease, maintain the predicted steering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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67NydIi0adfYbEqRzw2ISN1uxM9aRzySddXnfbKJCPnfNSZGyyCBHiAMTn0tl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\n9IaGhoZVgv8f1PBMXJGYgF8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b85fb2850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9EcBHAHyJmX+NiD4G4GMAfmFsSWy+0P7z2hVWheklPfrr0Xc7N2SnyjerFox1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\nOR0BtxtPLDlWX5DbqYpc6QOU2TFTNInzO325PmtVSCG0Ql/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b608d4b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ya/Kz600u+aFoDWM+wnxQL7t/kIeYJz25Ma6kvTztJw9nTrdQv6Ik6zji8GLI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\n4P8HcOYKItxXZ+MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b606eecd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vis.visualization import visualize_saliency, overlay\n",
    "\n",
    "titles = ['right steering', 'left steering', 'maintain steering']\n",
    "modifiers = [None, 'negate', 'small_values']\n",
    "for i, modifier in enumerate(modifiers):\n",
    "    heatmap = visualize_saliency(model, layer_idx=-1, filter_indices=0, \n",
    "                                 seed_input=bgr_img, grad_modifier=modifier)\n",
    "    plt.figure()\n",
    "    plt.title(titles[i])\n",
    "    # Overlay is used to alpha blend heatmap onto img.\n",
    "    plt.imshow(overlay(img, heatmap, alpha=0.7))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That was anti-climactic. Lets try grad-CAM. We know that vanilla saliency can be noisy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LJs/HL/JSMFvB+r7O2ypM0jp1exEmIwpSulRq5vMXwvhw5cEHQ9lLNpn9jMI8l0xXrzMD\nYfVJcp31q/ZB399JxgCWWYbOfKd5NpkuXgxajOsypu26CWFn6B0dHR1nBHvWoRPGxdKWwA4Uz5ve\nz/kXr5Ulitl3MarIMY/qnG8/zGPFKKM2XToAnvIl8UQLKVeui55c2eQMZanraH3XRRJS7OiN/ElA\npMEtbhlGCQIm+jr1rkkZ6Ei5hlP1xJMwdv1VNrJcLjHKjCJ6AxWLr0W0SCE0mBlb+6ingKWWIse8\nTebIqlpzgagj1oVas7Ea0vsrdLSqFx8sL2+pB+5q4oBT6DWbPtj5yWr5VgNnR6GtvMcVJ9fSErKF\nZrndoLVIzoJbgfMZH2B+04XuvOaL4RchzXN+nDBe07PzZtlMxh3mgfpem/+X+o2Pg/3tWe/G8vxs\nr1goVQjQSorDw/MAgLvuCqEBPvfApwEAB4cHGMf8YdrSBuvf7v21CWkM5qdjwAK6cEn1+zIT1iiQ\nM2NW9xYp9/z5IBse8TdUR2foHR0dHWcEt8SeooSEOTodt/qTDsuccQ7Zt0j001P+tbQiTced1knu\n3BZPj8R7YisfUX18JY+yQl0RGxHD966Pr+cyKYt3cZp1ddx8fIxR7AjK1EmnDcYKcjAoCQM82rn8\nNpQp5+yYiOL0RGcnFk3IMfXEDz0SWT9z0nLtgUnZQ+HHH3W9TifrQgGn17atcHQVSJ4G13EqaSKy\nWZzX62ft1YDJVvS3nMGn7VowZmPXZX2xH7vyh1zvns04inLy96m1ijWdt5X1O5Er60hML+7WGtRR\n17N7mTeV4T3qbrsU7GXrO+4AAHzggx/E+fPh/bkgTPmuO4MWYLDZLWe/GsV5nmesJGwu2exIvGtc\nQK/YbxZYU3iPyYdK2BGdoXd0dHScEexXh24Vqp5IrdqzxXIpfFH1K6abH6Rfdh8bxClPLb5DRZbo\nFZJjMg8ILTP50uuX1jnxll/RUolqKw69Stigq2cPQBK/ZnUkOnPWAA+iY3RhnxgTeJJVneJXP8w6\nS9CVt0rFlOUPmN3jJ+e7O3M+K2Lb4ILAyurnyMDjXST7TVgbzLbZBlxIYbby9b7izjJEMapOSOtm\nX0n54T4zLos6boS5O7Zq51NPmdxjxFYvOnX1nFbr47G4fp8yzcF02vnsxJh55X6oYPr5+ZoYnBcf\n4w95Zq7PxPTJXL5QDsUq50rz7QZ/r/mLFfX/tZzOFqbxm0SWp9z1RQCAr/mLd+Dyo0F5fd99YXO2\nj3zsj0PaWTfFCIG+LlwIoXcPzy3t+soidevaCanPQkqru1rsu4vhQPLLO+9tHVvQGXpHR0fHGcGp\n6NCrW6k5fVaLPEV/1pKRG2Nv6Z2Ym8w8ho5t5KWUTZiCP6++3IOuXlBVgohRV5eeD76ok+jHdXs8\ntYTX2IdazKdJWZta2j0bWICGZS4T5db3+L1XXfrCJPesjWy2pPXmCsLgKZ9b8NWFw8fQiKtD01DA\nytp1FaPbwMOoX8pocu+diE36Vfd8Cr/p8vmVPs/ePrMBhbO3l8bFxMH2dyQFe7rduK7PL+h7c717\nsUdvo8hgW9lN50vJfacb0Jwob37WyeR16zuLZlIslwvccWfQp99+e9Cdr6cQbOXq1RCh8eEvhG3t\nHnjgAako5L544QIODg9EEvFykeXh05Tbn3Q2PTPb2g/bBOiEEWX3O6ATheW2JqO6KSUvXGNRATvD\nU/5wnOrFTamja1GRxQrygaNsSXuiZlHjl9k0ZvdiuXFj04bMmzqvHyA0YJkuyFrPYSA+Xh2ZbDFO\nvC5c0lqCzOYeKdO8cQTAwfiqrpvq2sZ+IJ91EFW1WGwv+0D6KFlFuzJ0NyW2bperS0wdxGm4UXUb\nrb/0sclTA28uWwyG3Nr8l5A8eAfXH0urX2Wky2O423c/+Qg2n76J4UNeDOXAui3GwAbYwjYrarDj\n6EppqU3uLJO+v0mjFDbsWnt5WZweshUeOE1fhg72x77exE264iKQyxHHEx9zfhBSc/FCGOBV1fLM\nZzwLQFxMdOXKZRyv5d2ThURrUZ2ujYzo9bXJNYiKZfL7AOyIrnLp6OjoOCPYL0PnMK0Yi51WGN7o\nRY4YFS6DhOLz5YPbq5Gtut+8JVWVgVxQMqruSCkpaU6LpSxvNOJyl6Od0KjHmkTaT10f52ltoTi9\nO2ZkyHkgoHleWXvZoqQ5by9bAKYubrroa4iLXOyOTX3ijHqqKZgZtl7Kronhdl5kp9M+YDMz/4C8\nZbqiusg380hr0ClWhfW3HldNvdBMXp9lZgbKRt8dHMcytWRSVOlym6fNxW7I6U4wJbvmNFQrrZ2F\n4t1SM63Pk6pdLbTEFp3IphAD8UJjgRZytVVeiFf9BYw02NJ/danUxUETadgPll8N+BXqv+2227Ge\n9Fpg5NclmJ+qTFfrMMM2Bj8dWXmqZtVru6Iz9I6Ojo4zgj3r0IOa1AeQCn/ki3+isSv8RD2dUgAq\n2Xuxv2D+y8ylfq5wfdTPtJ8SRMY6szPImc5esyRMohHYqrXZQ2idur695H3qHgcMomefbaHDnKXR\nXItE/z9pGM+VhjvQ8qSNlIUI8xuWokMfk3C9cm32jN3k0FvghK2LREo+lIWstW1Ef0gJY7Xm8vpx\nv9CIE5Ked5DCVc/+IGeAjfUW4Vc9KyWyemwjg6IGP3NLAhoU+vcpP6+MkyjZY9O1taV17xUShl/u\nipLJnOZtmZB9ddYvta8NleVYrQUySRneJGAhJtwMIb2zwtarCxBdeI60Ptv7tzGpsy6dtqB7Psvl\nOTkWO4+8I7Zphb7v84RR7RRi+zo3ikui6NkPl+ey43la2+LItYTvPj7Ot6/bhs7QOzo6Os4I9u62\nSPnKDwBNlbGkD78a6nRIGVNOspsbNsRFPRWdtmc7JpQXjqLHgXzpk8iwLm+5/Lx1k3pfNe6Y6ibz\nNGUogyHSi/Cjm+fqfrfufmgYMaprFKv7Yvi1tUIamEguz0uNRkYxtICLAVboWW0tdCKDrpPKvRTj\n7EnJT9o9TQGvXjw6S1KXSt0JIAkxYOwqDzrmZ0shqV+OXVfSbnIDHMnr97VwyyxZy7xmp/A9IdMb\npwYdFO9RTBcrbi7Td95km3TfrYVGsRY5P7fmlvV7PjkqOnSnM7cAX5XnF0PueltAoxqq9ALVqY9j\ndmxI20ZnDQ3bg9mQ5NnP44BBXtgDCbV7cNh16B0dHR1PSuydoadf91RPXnrm5jpzPTJGSwkT9+qy\nzcZyyV/XpVcSAgir/uc5r48dVSJXBqNCorx+l32ZFYbkWHzZUtSU3wIDsYYGUDvDAiPpFnfiLcMH\nklRmCGPUjQIAFnK8QFzwoOxaCbvpmPP74xnmDm7RB8QLwDyJvJfSepHMUtSLRwOJiWcM+z26Kkyw\n0KnnrDQ0X/4cSkLp9dZp+dvYp++naRzdXCcfbSyq+9Zkpc2ovVgo1hKzRDtSKoxTvxfWoF2Qv0v1\njf/aXi9t+cvEyQWXxnsHVah1YS9rJd2yFgtA9GaZ4UKWiHfKEAaMrCBdNDSIIctm9pOOMYRBw23I\nxQWfbIjuDL2jo6PjjGDvDH2uLI8PH7CG3ltPuGwzz6W+scEoqgH/d12iXKmeCl9onylhp4WPrf+t\nHWk9ee0tZsGZZ4zW53Wl4VdXnTIvAF0BGpXY4Uf3yjiQGg6lzIWUtYhZ1H/ZVJmmwNaVjlLmjBiT\nTVf+CzNhrxtO1OWmR2dlQvmUIG4BpvVNVtDsnrv39NCWGUAtYtlGxTYS7Tw75s1OOUZuy0uTttnC\nzAtVcLqissE2qbiPNKGbybRkTtO72dBW1TnPZSLHpOv69yH5v1auF5bLmbxrcwv/kdrKitlj3p5m\nuzIblqz3mCbTs0cfdfWSk36iE+CF2nim+E7o+9XD53Z0dHQ8ObFnhs4gzKWfMFNllVtI1NoGK4Rw\nDRiMzTualatk5WuX621jIChltvlqyezX2GDd8lzl3t4ILr8z8i97ppItZitl7jKdWs6nLE8Mru+0\no0RGxefZBelSUrzMvVygxyNjFv16sdiysZDz4ACmH5zX0ubmmJJ7mJiufQEM6qVD+WzC1KkZMw8V\nmigWnhmZULGfDPGsei5p0oLiub7F2j+BQWYpduuqwy4pc1H0VgZLlWdcFOtlVxE3sbt85qitRjQ0\nw0H7VZ4FCaZK362T73hMVKYpvLr0QhKgzJXn49zsxGtdn1WPLC1zAsrt8Nw4ZG2vcZA4Hs/JRi2p\nbOrJAlnvYVvV0cLab9Kgeq2pVQM7zA7p2UT0W0T0ISL6IBF9r5y/i4h+g4j+UH7vPFHNHR0dHR03\nFbsw9DWA72Pm9xDRbQDeTUS/AeCVAN7OzD9GRK8G8GoAP7ixJHZf6EQfFZm403uqPtSYRHktnlD2\nlBefkmFbLYYsaQHvBUMoI7zFgnPPhHTF6sk0YCpT3Z7QKozBNmuwL7SLYOdDyYaQxRKrRTfeVpI/\nCnVWbxT7FVa6mG1LwEn9w70eUn3Y5fK11REWg2zIvbyALJNCnQIW0o4Ljr7q1lV15dyYZ7LjKT5/\nK7j+tEv//opMNwDvB1/2010yb0crrG16vc3S2/dZ9P3WCls9TrxCvKrZe4zs4o6+fdYywG8oHm1V\n4VCXP2zacNreM7U3JbMUPfYzgFLW/N3UGTExF2x5Ui+XQdd/yDtraxASmU6224dh64DOzPcDuF/+\nvkxEHwbwTAAvAfBCSfYGAO/AtgEdhFpvDo2WG4GKgalm0KjPDLPa0vN+z0wAoDlXn7D7GuiUJ7j7\n6QN39ZkB0hlJByo6Wuv92qyucSokUwvF+mKYz3oFvuMNRNFwqgObTAEHWdSgC4lYrDdsbosDpsGp\npsr5fvjR3WzmCceynHmeQ5Ciw4UsfZ5lObX2xjGqfkjGbwvhW8RqVyNv2oLa5l4o/5GrYVuaWj89\n2a4yQHuAiKqqnCwgCTEwNOKHl7sQtQdt54GbfXT8UvtcZdlWA2SRhGNpdi2UXRmw9L1xOz75QS0b\nnPXZNsaHaggCcx+c8vL0ndAwFmk0Ce8D3eBWMaCdfUkw645EOm5oPXJ2Vu8DMwJP9kEnUw/eZJVL\nCiJ6DoCvAvBOAE+XwR4AHgDw9BPV3NHR0dFxU7GzUZSILgH4BQB/m5kfdTuLM/n1tDHfqwC8CgBu\nu3hXRlFTBhH3J4xnKj83tIQ43aUokl52aVp5reIilSfQBSPaweXIlwFwpiLKy8+T5tPJnCX6vSTZ\nswMug4AZG7DwATL1FPfFedBgXXG2ogyczCiUL0YyE+VIRrxWU6DdFqRoPMzyaK+kNSWaFS1fWY1a\nVMtGKsPmNpC2X0sH15paKdsDJ7MeEdXa2ukbLCsV52J9uTU5hhKOeUo1hqr6ShVJc09Rdz1lglUP\nxiytE7nSzQuWb0JXOGRxbgMztyz+XJ2pm9ooSa8hGvR+1CgJF7yLM19RLc/+yuotxiUaQGlIYgCj\nl9maJJ/1hfJ0s5eTqQB3YuhEtEQYzN/IzG+V058honvk+j0APlvLy8yvY+bnMfPzzh9eOpFwHR0d\nHR27YytDp/DpeT2ADzPzP0ouvQ3AKwD8mPz+8rayGHHxRSg8vZgbPTUcqzndUT1dWVBan9NMc6pF\nFwNfQTfyL30MDRB1mGr0HIRNOQ+93JBSRoTK6vfhAtK0ForT9HNqPKnpGnNGXBabL1VmHsDyt20B\nqPuNqhi2hiecGTV06DhZcH7VuwPXRVYX/tUiD5CFC1CxJ9mi6/rx5wAAFw9uCzIKY+cRFu837kpn\nq56k4OvIhKYh2V7NM2PJUjySORbgjLxepc7FifL5xTVWzsUt1UmXEa/yQmy1ixYWZx6Rdec632KD\nvYGS28iZcqFvT7q9v6NiWT1yHTels0OvB9fTdp95vQPB7j0uBGOX1tkTAJQmR5dEu59z283+lHrV\nWK9Iw4v4GQbbnp85mze5bNo0JMxb32M3W/GzJo5PUA2mxtR3xC4ql68F8O0Afp+I3ifnfghhIH8z\nEX0ngHsBvPRENXd0dHR03FTs4uXy22grI7/+pBWmm0ykoEb40DTfputAqSdsFCRpteLstF1RfaSx\n5bmyIEqP7FAprX7N0/BdjkFvEM/PLDzTq1Qc8xezEh+0KOr8mi1piyWc/lDOj+MIGoMnzGpeWXkA\nMK9CHtUPMmKHAAAgAElEQVQXmk6dCnJmx+rOdfXqZQDAuQNh3yOB1f3RvBZz7xZSpm5TgQlx5wyr\nSX79dnZ2w4WLY/M5OXY1oPRx2cnOU+hc64yPiu0aS3JfXo8JTrp0HNhkefAPsOKNUnisnLj6jRJs\ng59YpTOS6I6Zs+xCxsSuUDDyoX5fkbHH2e4cu77U69JWwuqqSNPJ/FUMfel/R0dHxxnB/sPnzpzo\nXQUZ1VCrtB7lzDx6rFDypdtSZ8KqvM58m1/4XElgX1z3pS3YAZB87ZW1Oz2hk4Ox3ae8XF+faoO1\nveJihTRFOovxu+y1l71LemMphEFC7q5XEnhoERi7bqGV5BLB5iiMesBMqa4S5ld/7bHPAwAuHlwC\nj+fDRQk/YO23Vt2ieMiY/nEN20HD7sOvNSj9xsm3peqHbYm/p2SybRjT1rVA9iwSfXm0FbUylbr1\nygZveVJ/IfUoc/V4X/Khoft2BUqxjo1mdrEt5fjZZip060WOL5wcV2b4xZBSX6IPpKFC8jElyqR9\nILFXOMNLy/Rh9jUiGJm3wST3BCsXUcZAZePWkMx1dIbe0dHRcUaw/y3ohlKvN9CAIlRsKxRAuqS9\nEbBeEYl5kq7pnOB15zXvlBtSCLpaXPkC71McRN3CIFK5HIvxM5ssLYDU38jYorqQ5yrniGSTZ/U/\nX8iq0tXxtZDXGLnUb/KgnFA4amvqfin72tFjOFgGhu5tGsZFbH+LZXJeC9JAZbqUe5Xdb2rrKGdM\neZCzll53EztvWSlqfuJlXpGjRQWTUy1d+iZdftt+EpfVN5PsZCPYvOozKQzs9yLUo4adoYZd7Arq\nMULU8MDR48pRTFJ/b71+vNanoteLyCGr1Cfzmku88G5gvQ3QGXpHR0fHmcGp6NCjF0Vkk56F+q9z\n3NIsnkmvuloAJBw0KarwZlF2YASw1DobKD9n4Vkli64MnCyOSZxpqN52Rl1/VoP3vDCZTfmdUGa7\nVxcsy5vYk7IGdz/GZG0SkdOPIU1ukUFVVx+Y9JqVBed67AXNVp9tg6cpdMNdYeHK1NfTjGF6BACw\nXB5I3qAzL9yaJ50ZLJIYLiupR7YFM6auktWYqLYFsrSR1eV+zcwoaDq5eoonneiKyVNLrye2mWrJ\nvby3jteLc1J3lImz36YHVYbN+nBt17nCSjfGY9Ektll5ntc2gnAeQMwVn3tFdXyAPCOxe0iraLml\nnezGZwJWApE9M4uBo11UbEcD8uBc85xoL3asx6Mz9I6Ojo4zgr0zdCS+ljU9+aZrHoXPtR41XFfC\n6VxHX4ZfceczzwRhZQXrDfC76zGzxYlQNnjS6GlZebFgkS250HTXaX2zKSlRWQHZlbSaQvc9px4b\n4WepXi4rifei961shOeKHtzBVqZKshE4nkJkxnEpesdDqVcomobahfi/8wog84Ch/NfqPc4rRLlh\nSdsu48IQU7m9eQuxTycnt1Cw1orE9NpJfM2bdhkTssLGt+jDa55gvjwNGXsSFLP0hLX6d62Mrliy\nbj+mbJTb1T8nde+CLE6V1Zdv16gbns9zXF19koiZNezfKEqVjs1z0Uk2GypynOSmdVBpBXCKxsl8\nsJsTrYZijmN9QLK2JeSJA0U5kNeNlQxujybFPOwED9vc8KKRsukyZwO4G4CTvT7TgGeh+NA51Yj5\n2OXH5Hzy8vjpJDcGF+3wC1g4gqP5KgDg/OFSypVp6nqR1UND/OCyDuxWfL6cOg1TUMbeEhWZjW/u\n45CopzbF3AZK1UFw3d1tcpway4sBac7DLLioFRvfGa9ey2/BLZdnf16ObKDKS87SnGQg15DEzQU/\n7axeIeZH3tqCRv/ctg3wAXlI3KSGvOyh3PmpiI/u1GCgOarWGq6N29BVLh0dHR1nBKfA0NNphVMd\nIJ0p5Wyk+B6mjK/pqpSXxX6eliQqTYZJPZLOgus4lq+/86ThMmWxzTjENMVMNp8uR3fGyo1EHzY0\nCkvSbp4JZGGPvS6loWIxO+uaTYyiGkk7CkcYlQVrm89RfivPa8w8MSOOOx8JAz8WdcnBoSwo8hsZ\nUWG7NqZOsqGAqb9ceNPwt3dpQ5EmnK/P8LI0zuXN2p6SAltui+50jWG22FsqWTTMNWRUBwWj9WMy\nKylS52l3gJ+dbMLWNEmQK5+y2MrkBtRRHjOzyXRjbL4OLWoYdWyTZ5Q2vBqcO0Pv6OjoeHJirwyd\nAaznOX71ktCW0QaZM3L/LfZuPUUFKHWIm7L4pfnwjDpdGCPK8cjeVc+ah52lxB3TVxplybdw24gi\nSY2ftMIF6P2N7iwVS8mNIOiveh6q4XGc7bqtBTFWnxtUD4awb+jR0VGUUWc23v3Tud/NpvrmpL3C\nHysOuvQDXUe0WFjxQQCKzNgKlDLUQGzGWU1XsqDI4vVMvX3r4U1lduk3Lqjqhj3r9uUnhjnbwEKv\n5W5xxW5phKQj17mb5k1J+TB4NpoW6EJgJxXX2eQ21p3KK/0jTtFcUcmxmznN1iZu/DC3Wm7LouNR\nTWbvPmqxt1JXzbTeOOMvww84G4T86sx/wlBM3Oa5NNhvQmfoHR0dHWcE+3dbBEwJNyes2BZFOJat\ni3T0epXRNlTp0QUxMpuodnfl6Zfe0fmoho81KyPXBTKDY0oxfGn6VS6CrLp6blwnlyuOs9IrpaZX\n6rOEOLPJbQYWlZaiHtWrwfU5HSyCjnt17TgmsNlOrqS356YsSw39lHBn14zXpxBq4PDcxSxPeMiS\nf8153skvLPLSI5mxyRVjTPEOM2ETbHVJTelXJXRqIQtyHfDgQukWrr01t0gvo9Mt+3ppIJsJFIy7\nMHqUOInOvC2j1tIwYDDH51SxNYTz/j5TuVv35QUo+0UtbAkQXRKz4HfN/qBlqUunjodD2cY7LfxK\n5DlR6o6Ojo6OWxZ7ZegE8X6Y868QETXZQHTw2M5gm34HlQ9uwrfD/yaSnwnEL+805Sx7IN98JdNt\nL+Bw9+dk3VBsUgFtSOT0yNXWcWmUDej6EVkUZNERbG81YFb9uqiQTQ/u6PZCmPp8dM3aIj5KrUiY\nivpmmw53sjrNwWcRMuvMbR4CU1+IUp3pIBa7lmdpi460XNV7b9JPqp1H6vUkrtKOW2HKb46zEecJ\ns8l5QvWpytSLZfvkWN0Gbyi/cYYdMSwgWOGCv4XJpl4hOyNJ3rz1SpCulihxw2w5tudX31hnG+Js\nxUlpawGcV1QahLrwJdff+qx9CFP6cEVeuu7l0tHR0fEkxeno0AXp8nHv/9tMW4UpwMNP/Wo95xbi\nPye+64UO0+nhyU0FmLkgb/E2nI6v6mnRMA4Ys/Y66fRcLAVIGEZ2v24WYi4DelqOhcjqXro8Jfo/\ncnppZ6VfiBfIimGuCHE20rAvSN5hHDAPfgfkXHl/JJtELw6Xdt62rdM8BW3xTEm9IKIs5q1g91Pf\neiwr1TbB3jwrAyJbLMknZb+b/KhbIZIjM0zur7FhdVpaTOvE9Rcc2kGuHidcZ0rl2jajseX16boL\nZ2OIjymfvWqQvfQx+rQ2WXX3ni35L+rVM/VVoONIxvh9oLVd0Rl6R0dHxxnB3hn6jHXCZFMNr/+K\nQY5b3xxOvuCcF9eKEZJ4qvhVpFEPmK8eNJ9cLn0iyO3hFhlTlD1+sccsjWelZUukNWl5ebs1N7nN\nylOml19nUMHSSBn05Ji5rRSNDHuQrmOrR+GehR5bqNDzkW2vg+eLBdZSnfAi/C4OhdVjbb7vswkj\nsqjukoOf+1ouLxe3YxY9O4+qV5cbtPilSt2vQ29U47qw6dVldWmxfFXvM/XvzvsM+fglptuOutRY\nnNuEuBGcKQ3H6qdstX6X13cyFOYQD85ZqflxU2yL3ZF4dnjaXbRFPL1t5WuSK8g6zzvo0PMxYBP8\nbKSm6y5l3DaDubHnleJUlv67MTR7buUUM4/vnSOfQnmtwtya+qYl2FRJFwmF49EHT6LaJHVz+VlA\nqgaK6XLyv1/gkXxJnGiE1l6lifXNXeZYWxZXHTG2uPv2ULp0P7HvAakdrq5KGjFgPg6W1FEDhcno\nfHA+GE4H0ZosL0jkxmGNle7dOYTfo1UYwOMiqPDH8UqiMi5mkHwYZgngrh8O2/1nJ9fDk79c2wbS\nk5RYj0TaKrf17DeldeerA1Jz1ARQCYRVUTFuRao/8eW5w1QNZXspVNqpLnKpeonjx3ahtwdg0w6p\nH/PaB6T1fPRe0jzbVW5VOU+UuqOjo6PjlsX+jaKJp9guPvOe6dUXFuUGrGLal2Zx0zrvWjSOucHR\nwqSC4Zf+b5iTJr/6tzeo5khVJJtUKanMloMSlmEqD02sX3q9r1QGVwHZWv/wM2mALUlvbpscdy8q\n7YsBuhZblkhPKwLmUO446h6KkkaqHQ/CrkRPue3OUPT5AStR03z+0YcAAOcPQhlHx4GRa/x1NUSu\n1ldwfgxhB6ZBVS65DsHagBM2FE/K/xq72rP58teTqGI6jpy5p8v7/WK0XRjnSWLqW7fQR9foWml9\nk/n8qfyeLebXY8NSUkGugtuIxj37nGm/1/sxVZW7sbjZVtnWUb3VGoBaiwETFFZZbaM8RHNWjl/s\nVBSZnmmF8tiMztA7Ojo6zghO1W2R0wVGjvj4RRN1pu6ZeQPJ13SelGXneuptrIcAsC28KcOu5rIm\nubRqt5iq0AGm9TRkiDYHbyxKmItTpxYsJztIdqwAUOzUqAuLVs4cPCPx22oJKzMe07ce4PpxWAQE\nDawlxR1cEB265Dl3GBj28uICy0vnAAAPX304pJGdkY6no1x00ZOvVissNZbuGDbbiI2r7Hu77vwk\nvCjqzvP72i3v7rrfG4HvM8UaF0uXGl9d/9pmi6pZKxuhDApssnDuAgupWykXud69dAVtLfzZIm/l\neAdOH2dhhbtpZPlsThk31iadoXd0dHScEew/fG6iU1PdHBHB78zov1A+LCZz+lXOv3hetVdsIgFg\nbG2NVejG0m+u0/Vxfp5B7noMP0ZO6VwwcwvwFcMLc3qz6bEPqESJDpi9bG4PTLMJpDTb6TtdgDKs\nHYOZEs+/hhsm/GWMwKTdTfYdFXZ9OOtSdtHZr0NZd99xNy7PgYlPcl/nLwTWfW0KYXRHOa+hALCY\ncXQ9bH93Xhi6ervMEqrB+prznkhhLWMGBH9FMw9FngG+7+YznHSGUOrM8z5EyXswO12sPsuY1/fp\n6Joa+6EwylKJHv9sGHjsnSyChEXbSnJnqMPFUqA50es7Hbdri3RI8NsnFsTZu+RS+nehva5LWtGx\ney5vm1NoCOHkvv3Exo9PMbBXTOj1+9sWXBYynyh1R0dHR8cti50ZOgWz7bsAfIqZv5mIngvg5wHc\nDeDdAL6dmY83lQHmsCAkOpbKaS6+sF7PtNH6XzDwnGVbEHoMFgCqqI/9H7kcAJXMtfK9Tn8pKN7l\njGfVvoxUj+ZdSLZhALtA+C0f+bRd47ouTatlOBYqDNq2eRvYFhQVG++2FuIAWMiGztNR6CYXbgsM\n+inn7wh5L4S8X/y0e6Re4HOf/RwA4Kl33w0AOLwULj1y5cFQv3jMqFMBD9En+FgWMC1omd+Wn0ll\nbbVZJ+u9GgC29Urb9d3bn+dG75bGtWI2O1SY5ZCn3WQz8rpmX74PfHVD2KBjb4fATWYRO4RGcBUW\nddUYcoqUYY+2UUadMXsvvE1mhxrzz+VMQgqckHOfJPX3AvhwcvzjAP4xM/8ZAA8D+M4T1dzR0dHR\ncVOxE0MnomcB+GsAfhTA36Hwefw6AH9DkrwBwI8A+KfbyhpAiQdGymS1Mv3Jv3iGlCUXek1lFBoS\nVzZrHqJbhd/ii7nFVLzOey6uFKF33cwD6czDxN7M6rO0hR2hSJlAdePr6nkPxmz6P7P2x7i5TkbN\nJHWsk/ty4Q98lnTDg1G627wKdHqYgt85ZBPnOy7dLRIH5r6ajnHl8iMAgGf8mWcCAO799Mey+1wu\nhWWZt8tst7xeB136wXBRL2Yy8pA+C6fDtm3rnNeG/Ubf8tnsExD5C+WpQPt7EhLCtivUJLnnha5u\nLQM1ANFLI48xrPpxrjD61qbrm93FfWCvrPoTeMWjmDVXJhNbEVZG34gXSP7OzS7A3CbY+z80zkfh\nJBknLD1/z8oZgb4jQ2XGezLsmv6fAPgBRMvX3QC+wMw6etwH4Jm1jET0KiJ6FxG96/rRlROK19HR\n0dGxK7YydCL6ZgCfZeZ3E9ELT1oBM78OwOsA4Gl3/SlOGTelrLVgsg0dsKQbULKM2e1yPETFYahv\noIrV2OtGMzGQbhKwlRRUWKpXu8fbrDBzhA+8ecs4P/vorRPTxvPRTlBHsuJVCmVSZq5STXYtk80F\nbAnpvfdHvq1cZB3RC0ZnR8sD0Q8eS55jYY3HnIkxr2ZcvRJY9v33fxoAcE08WMaFrgkIeXSF7zQQ\n2IXNnWxjCJHMxwoBwUIQF8GysqT2bNKJHSXMO1x0rN6BmRO9sGO/zqMk3Xy4ZJJukwp/X8nlXf3d\nU9lOik3xYGqeKsBum2KczK4Q50lSg0oCNOYSftu8VP8dJ3H5ANV6xFzJq+UNjd1SNunbT7oOYReV\ny9cC+BYiejGAcwBuB/BaAHcQ0UJY+rMAfOpENXd0dHR03FRsHdCZ+TUAXgMAwtC/n5lfTkT/GsC3\nIni6vALAL+9UYxaR7WRfn5A//MyIbJNlP7Tov9oIM5p+Ge1vF5/FvsBe114KEc95th31rVEz6/N4\nRDsA+filxcrUXJmeWt4L3Wh9AgKAMXDOqmdl7OIyQq6NTEYaokxyzft2R0ksEEz0wxVPo7X4mM8a\nrld09EfKyq/cD6xCiNujy+EZH55Xhiy+7PLsl7JSdCJK9PvBLce8MuhQ/nCyYY7Pp6lM1hlQed37\nmXvaVivRb+wcL9RXSIdyNE5IvX+rb3axHgOw59VcFZnOOJSpbtmowzb0UNtKkpxcP0g3Tk/Pgyky\nWGen2OzVkzP+ZOM3KdbPGGNZPjaNzrYKnfrjXMVaNJ+n9WZHiMw9Snlj9T6ehUU/CODniegfAHgv\ngNfvlKv2jLg0FPj+7kPJMrOpWEYfttSrDFK1SjGFzv8i5J1KRwMnXZbExt3KrRULfooO1miQrAz/\ngnr9VIxDTUPeBpv7Y67CgZhE2JpAr3hL0BC/WTbYa336gdSdV5KPgqps5Hcpuww98sgXAACXxcZy\nbSExzs+vcdvTbwu5DySM7iKUe7RS840M7DKo0LAAxvwZqsplLD938jsXZ1op4+5Q8tG7waX5N7bk\nv/Ewd5DhJG5+fmefUop8ME3T7Tr+peqNQlVUqDG82uYk+4NuV9dYL3dujFmvdzfbqt6cOQjtxmjo\na9KwC3pplxDgKU40oDPzOwC8Q/7+IwB/4US1dXR0dHQ8Ydj/jkVxpW+yHD5dhh7Q+rgpKyfM5uyf\nWA3zMvSXIgMzly6rJ5+K+t1KUptIyd6U4bK/4HInZxyrL9YqpfI3Zi2FsZQG+IVLhboJvo3I0hZG\nPVOTeJVLhZbYkmdVCylzVhaSGKp1pxsJo3t9dRkAcOXo8yGJuJfe/synAADOnVta+cfHQfUyD0ci\nq8okMwF9sCPZTIBt+XS4Nq1CcLADBHfJddbqfg7mVRJUPw8UoRrK8Lk5au6Eds0bZbPcntk5hreB\njcZZV85KeUMHbLH6XcjxNqauZQ9DVJH5PKXaM3mPi/pK9UVaz+YF9M64PGg/nQs1kJffxyCYk4Yc\nvPqufaOawfLrazMOJxui+9L/jo6OjjOCU9iCDqnSFvGv1jdU9aC6SEhd52IgolicZxI5a50TY0qZ\n5vGjVOGXViJy7oORbad6/1yP1tJ7FqEOsrrzK5luz9UT4V0RW4rCAXAzmdmYudvOzmYGyb518nt0\nFNg2S0jj2y8GZr4YZQHSzLawiC9Je0l0iVFmDcqCVNVIwwzWPqL2BHVfnFTGA5FC2eqA2OY5g7Vb\ntvOeqdNGlpuVMeT3D7Sfba3l/V6l5faF5SzDvwOt+6qx+xtxX2y58e3ynkUyvF3f3wzeV7D6ir66\n7SmQnR+GoZz9bwm/kG111yi3OE5meDGct5ZxsmfQGXpHR0fHGcHew+fOPBtTSTWztqWUeWmkuZBQ\nltSKnJ/zimnVt3Oy/9a2L17UIzsGwLWcjt2YqJENeTLQWr4f9bDJIhfPGp2ONi2TCuao9ehMID/O\npSi9PTJhC/Y2JadsB+nsWF0eZ/F6SZmDes8sFhKsS57TSjZ6Xl0VFn44Yj08llWzkI0tBtWlc3BN\nHFlD8B5iMn36lIlvgZPWwuAX4qkCTiYP2rb5LEldQ+MMK7shOdd6BpbQymj1wyKMbnpRV59T8g4k\n9zUUzykyx3GDO2QrT+FRWZgVaGP6kCZ3aSwJbjpzy+svt4iL9RURO9xMZHChhDMNQGHjyEMocNJb\nzZVRZ31G2EXGGGe5KJqtX4hM9rrVpzGUePIVUbB3RGfoHR0dHWcEp7IFXbGlVbIAJy7fD7Avo3x7\n1C9zGKj4fBV+HvaFPMmGqyfXG1r9xsaV3XF1qXO11kwN6+9ks2ypX66fAcTZA+fHWamOqVdZVFZo\nRRmbp0ls/UkZcRYCAKPoyteifz9eB7atDiyr1Qq4oNROfyXNLL8yz1PX88U42ebQVrUPBSA6+3Gh\n3b9sk3po3fK42vYNvTFlf7fauoV2wrgRRCnpphC0zfIa916ui/Fllv1zi+oZaaCtbeGBa9fLuvV+\nc9Y9EMV3rzFtZh17EluF95qxuXNDVttack6YuerFnTo+uYlKSfnsfFd0ht7R0dFxRrB3hp4ubk11\nz4x8g4a4eizfQk0RmLrqy5wFXxmTftkT1w+vzyx05cUHsf2FbOkYc6buPQ/kmrMJUPr5tk0xFM5j\nhJSxJKepQYU4FyrzYXc2h+10UdlKmVeXf5chXdN70JWiwctkGA6yPKw0e5RQDiNM8cijrvZUnXz+\nO9ntz01mjiHUs9aNLw4P9SaSfpnP5nyL2IYDiRK30Ld7XbMrI++FhTVFzleehenOc91sy/98U7Cs\njV4itqTfBE6rr4aRKOvRv/KwFd6rJp2xlnr9cjaU5s3O6Q4njdnKzAQU73yhiJfLiZagfKlzyRqz\nlNSuFfvKbNfy+0ITJ/U06gy9o6Oj44xg/37oFTYxY8bCf1kdg/WeH+nXu2AqW7706blt+sIWU8tk\n9SVzmmYz6y18h4naX2xjN/78xio2FOVYaaP5yMUtCXMj327eTuEfJMMoM6kfePgdl4Exa7wWHAgL\nWsa/l8ugM1+IH/oC3u9dpOB19G7RVXaOqWsALtOlj0PirpCX52d0rls2nlVDF7zhXIvFU4v2o83M\nd4HfQCZlvyaTj/+q5xsMk2gz20zrSUXfpuePCylLu0MZbKw+o09l8+FyY6IkcSl4Vh8Vad37QOXz\nYZlG6jaYtZg5vg26Dr2jo6PjSYo9M3QG5qlgB8OQbFhcfISFQQhLqO0WNbuvY4zXkn/tQvB+KX8L\nzS0uV6iHX/lXbp4R6/GOPeXWerEadjpzr0fzsUMyrZ61X0Gzs3qQbIMW/W+RH1v5el1ZatptcsYS\nm6AW4lXyyQ4UvJAKbpfjQ9ExymbROM8YzgkzpxCHZbSVoiupJTB19WwZMWIQNj/bSlFtFO1D4Xha\nXQUALMcJkxE7tbsorc/j2KhfMg8ahXOwMMRR5Zyzq8KpIfUr8t2gOBFrj8+prju3+pXRprPYBhv1\nXZaJ61OJCjyznrmileb8hZ7d+ZQll15Bznfe1gKk+nC9mIe+9Tw9m5Cqx5wx/8rNwbUv5X3IM/MY\n/yW5n7JAu5O0iPT9jm1wYztxn4LbYtKZ1Z1n06xip87lJq7246ddyYRy20O0AVCGS0pKK15UN01K\nhtjWFLTcM1XbIrE4Nm2VXr1Rhn/16hk/WM8gW0pu+6q6r2o0NOkArwPKCLiFGzGcrBPEDJTr2Nt0\na0/duUjlPydiXJT2uzjh/EFYWHSOQ3CuQxxJbavszrQ9l7TGYhnKO9atZEe5+6W0udS/PtJnMJRf\nJLuRMa0m+UCnL3veEqVKwhGL9JyRgSbTiOVsMYJuKqKlYqmNi431PFmatIxip6ZM1oDZCFkZhG+b\nkTBer9237E+75RnUclco2pbjdMD1ZNFfr6iQGl+OWtgC3067oqtcOjo6Os4ITsFtEdkSV0C+0qZz\n0K9ZTJ+lrc5EWqzGGXNAldClDTrgjRPVHA0K7RcqZHm9TKU0nmVb01geKT/bE5SRp9LEyqRVLRAp\ntDFzZdfG4pS5L+R8+B3S7qLPR90KjQ3LryYVdswjxzSyScV8oKxNQgCIu+JwMahVLhxcxXkWho7r\nUmwenEuhJtIFFljItWNh5JB6SX5NmyL3v17NWByqcDqDqe//WINN7zcyycjA0iX6pl5z0+9NxrBa\nEK6QR46HnEVW81RYYVrGJhTam6SIufE+tRh0PVxALK1WYZhpax+VvuSmFZuYarlnhJ/Zx9lMa9FW\na+9eU4vNHBclCWKcLzezsbyJEEVsg93QGXpHR0fHGcHpuC06xjlQxcDTsglsYUG1xCnj1UVG3Epj\nSeV8YmAtnPy9ur3Qh1f0gQ25yYJCZQXmsjjGbnsj1oQyqC7TVtfI6URvrGxHmboqmY3SSh7tLUsA\natBcov6ra4bSPO4aCYNeyH6gvA5b0N1GYeOLQ76O8xDDJXJ3RV1QpExa726NBUYJ2IVBFigtF6Us\ngDXVegIWaqgt3GPrYZ2j4Tht79bsr0JDm/aROpg568d5UaXxPz325aTXChfBlNVvfQctk5yOM0Xy\nndjdr4X/OFEoglIEckbQG5phOFdETu4nbgzj+oNup+htINZ8VBicfX21h79t+79t6Ay9o6Oj44xg\nzwydMCVBtewbzsDo9GUWpnQu04ZkKRtQGOfPap2HeD0GyvHMwev1K0w+J8hFrfE4esaYq5x3D0uK\nDfUlLMF/7At4/f6MuDmzllvfGT4tNIYYDZR1FkbOtgGEJNYV8rrg5yD8C+coT7MUPbEc86EwmCVh\nOBPWRe0AABe3SURBVBSWvVhJ0vB7ICz86NFHAQAX5PiAjnCIwNYXrMzcuXTK/a3keR3QAgfiAbM8\nEJfGhbSFrmuSEAPaL+Y1WVA43cpuNsaOrC3isYZT5bgUPwnKlsIzv7AKXQ58xOKkr2pN4X8qdcn+\n2TqVM6HC1m3S0GD1KOE9KT3MnZCiQxF7b6GC/iZvbYOse/a7cZGNBuNCzthz3b179/PTu5hLbLZq\nrqG2Ji+3a4VrGlBwzvLaddfaM+KU/iTB1PIyOzo6OjrOBPa+sIhn3vjVafrY6vVs+a+yF/2q6Rdd\nkjhrP2HDBr5t59dcgPKg9ClOnZa3ffUrFvfSA8Dr8fR0nL5EH+e4iXZAziisFhphDtmFctsx88ov\nCfPGeTl3Tn/lmciCoMNl8E5Z8jUsxYdcGfRCQuGeQ/BkuU6PStrLItUKS2Hr3qtFb2eSLqw+8iOv\nsKDAzBfiNTONcl+2romzX5pGrFbh78NDc8/J6vOeF3Hx0JjosHN2FfPWmHujn7eYGaV/tuww1dNB\navUDt9enzfZbm29sX9ZfEcbT7w1MvSgnGrAkaVv3POyyAMep9WN9LqDcpiIo/6NlNZGCg2y66GjS\ndRztLavjmOVtObuhM/SOjo6OM4JT8HLhlEIDCIdR56W6Su+7Qdlvftl9LZ0esvZhLrfrajAGz5Ir\naOohk1ADLdTvM5TgfXdL/9lStlIv5z0tkjCj1v5O36768UPJIyycjYUjMnK5NlwMDPrw4JqcDr+H\n4j++xGP294HzWDmkcHxtEbxcFqtHRJoJS7qaia9eLbP4109qO5BnsMAao+jbjdWb/zuyY9L7PCbM\nx7JhxoHaEfxK2OpicjGt7KqElXTJgyxWGjr7ElGst+37XK8tDXURw76q3PmskoakD7tXoYx115jN\n5lHp5Kdum8rKKlZfWiHVvEQVHfmWpidQ4lnjbtAIs9q+EjncrNjPEaLmQENDp1OpfIYRN79oaSFS\ni129/bahM/SOjo6OM4L9MnQO+qrowxv1hfbFs9gp4dgz80zH6B1V1IPFeSTMFb2kMteCqe9g6i50\n2xuwNU6F12VSrdicsfvVeIG5ee+PnO1wGUMWxbJOtdiL54p5spyTMuUXF2ABtIYLgV1fXDwml5Sh\nPya/4fgcXcFyDn+rT/mBsM8DljyyITTPQZdOzBgkKJcyy2nQbeuC7Cu5h7Xq0HFozF/jvfAQmLpu\nCu1ihAUmJQeThji17elybxMfrCv7q/Gs1QMpbl6RYkeKieSZGnurF5Gxcq+79mVu8Kogx+ZrW0fm\nFbbLLwJvNVaqbkJeVj1MrhfNAnAh2u6MdLN/tr6+XaTK20DteEM2vdbppa+vdXxj7QN0ht7R0dFx\nZnAqK0XND9QIwGys01uaoz/4lF9PPAZikMA8DGxaZwszOabuvogpK5rNGp7rPSPLUTGiftX73EeZ\ncqS1WoyWhv6x2PKaZ0Qn5DS+S+KNofXarCYydIuLITFWzPnlUGoS//PhfGToi0vBY+WcsOoLouu+\nKF4pF9zvRb6KA2HriyMpZy3lyi9L9MPVY+owzlio3lHJtYTGHXQzDFH4T9I/Flib7nzUVaVLWVVq\nW9xJ8bKSFAsAq3Cv63U4d7BQv379zWd/+aNxsyI7b2EJ7X5CvbGPs+j7zQHdRfLcuInFFhtLeC9U\n3pzd++Wf8T1L3ytl5prF9XtJV9qj4sU5eRWCHPn9pQ05u6384PLo7wy2NRT+ngf3GqfxdbiYwuQy\n+DZPY7nYbbnpmHMtt/Qz0rZWO4X0JRsvJpd3MI8b7W/D4G05m7HTgE5EdwD4GQB/DuG+vwPARwC8\nCcBzAHwCwEuZ+eGtZSGZRiSLd+Lm2vkCgS2CSdrdDAfZUt4tKOxAaUdvuKVtLK9VrevwmZHNJ/XG\nI/taJG2lwYqs87Z2cBnBs/sAyhJ8kmX9pnJRd0UxhA7nVzgcgoFTVSwXRcVySQd2cT28hGDoPHf9\nGPNVKfe61LjSAUMW9Yhbl3wDgJHg1j7ZG7yUl2E+VPXKbL9xQNcdiXRAz1VLMZwvAStR6azjMJX/\nCow0xGdRfJyLh+2m5fK6AyU5KJ594qb7eHYosuJ2CeGq4nrvOrvlnCTEHYCyAjWx/C99lv31ygDu\nZCz2T8B2lUu1cPYvm573JC7qstqx53MCWlNdtTwza/smWM1OjzZXAvxtwq4ql9cC+L+Z+T8C8OcB\nfBjAqwG8nZm/DMDb5bijo6Oj45SwlaET0VMA/GUArwQAZj4GcExELwHwQkn2BgDvAPCDW2uca0GG\nYuCrQcO9Fl/T2lRXr+jUtv4FzncY13ry3V/KQufN1ysV+dXVWRJn9/CG283kq6WwmZPfKbtkQcha\nhisuF3ixqiSUmcsyfhxIPeLGeLA8wjkKKpfz4op4SRj6Rb4qx+H38KqoFC4jMu9r8qsxb6WahdDx\n61dIT0QXQ7/OQqiI7jW6HsPvyJMxcw0TMMjuQhkjT8rAAEB3IJKk01rK0zzFohM9nqyPFBtZKLuq\ndowcWyd5HGW0U7OfPcg9JJ0qOhV46XNh5g0d0MTX18yrkmq80KlVN6FYe5SpBRPVjo4NlQV73gha\ntGdqIG4+h/rMoFpe65knatjBzTSit6IbDIpBIpHhCXBbfC6ABwH8CyJ6LxH9DBFdBPB0Zr5f0jwA\n4Om1zET0KiJ6FxG96/rR1VqSjo6Ojo6bgF106AsAXw3ge5j5nUT0Wjj1CjMz+YhE8drrALwOAJ56\n57O5potOv2TsdGPesBA/YqmrXswdytUsNQa9+YvH7jfKGs82Q48WLDg1lKoQeQUlaWh/pdvuknNS\nt5PRtUnUj1I09BlzlUS2ZZsydLmsy/lpZVvB6cYTumjIFhRdkxC2V6TsywAuS33HIsOxs67pI74m\ns6fFbHWzY+hK1nRV/zBEvflg+vRcl26TP9XLJ26LnPUrYLWSMhbJQizUNOZlP6wunkmFr6T1xsKa\nobGpk/X+uzXYRC0kmv07krBwPxmJRtB6BRtZ4YYl/htOZ7LttD2fZ+zFBapdbWTadM29wIXuPA6p\nTbHN/3jTrMjd+47YhaHfB+A+Zn6nHL8FYYD/DBHdI5XfA+CzJ6q5o6Ojo+OmYitDZ+YHiOiTRPTl\nzPwRAF8P4EPy7xUAfkx+f3lrWQhLtz2znZmjnlNgwaXYeRvUNhTwS2ztKpVZvO7LmJevX2VLvBla\nYQGcutDCZqaaycSjJ8iUz0DSzauHPEtyA6mXBBKSQHbX5NpxcG1gVweyk+zWHM0uiJUxdAl2tcAK\nB6IA10BbB0K7D+fA3PGYeqyIzFcAWSMENh262jacK+pKXBHXKyykfA15a3p3NRmIZ8ygrpU8gdRd\nkYSZ613L/Qy6ocYorm/jXLLe9WXJElx82JhXKHuF25LUtqed/F9n5Knbn/eO0LSD70zJjIvdvowl\nY/b68qT+WWeVWqzKkss4gEz37/tufCec/j2jhTlzjR1eX07nLlnhlFH97uqZ1XWZohdcY/JT+IZQ\n4oK4k8EitG8xU/ImKTfDmtPn5caY6LCSG4K0qONxSELuSooT6tB39UP/HgBvJKIDAH8E4L8Vad5M\nRN8J4F4ALz1RzR0dHR0dNxU7DejM/D4Az6tc+vqTVsjgRH/c1ikq0uBE4XosadvHa6440lat3yjZ\nTk115XXYnkH4pdBEqOjetIR6vRSbZzsS4h7bye+k4XzNEw+IuJhFk4rcyobdps6j1LHEZAGwlEEv\nZLOKhRB0ll9RrQPXAZK/V9dC+ccuKJLNxSb1ZljFPa5VFmPmlB0PHD1b1Cddn8+gbSNZRtnwYnkp\nRBa7evlqqRqVE9MkengJOcBoGEMq5zb5fEe2WM+rfShuNBw7U0uXXQ0j4UpvnckCQ3kW6lAGgEsL\n8sYhzvJE5lmr19uk8qLy637Wqmdrz0UOdyS7mZ2vKLdxPPh+kZRXeML4aUXZ0OMoC92mqbi2CX3p\nf0dHR8cZwd6X/nOgkwDybxk7HV/xzap9XZ26Tgkn+/NZXs9Mcn1hO0RtqpnMPRK8QOn31884UoJc\nR/qNdZ4rDU8LImrOBPzZ1GOm0MCmIQuQtJswd/Ma4SkJgCVL7kVfLYTdflmW+dMRsBaGrs4tx0qy\n5di2llhHpT4tpT2keNYwAW5CMjhWnv6tPvnF/Q0WAwDFHoGCo6NgG7iw1OWyZbo5nZEhaeumK1Pb\n48KvTFQbTo3sD56EejvAxqleXk+6GtPrh7frnCOsnDln5pGM5u5KnOZxTJZcLOHqqk0t3saA9izG\nb/i8/bZignnOZbGtLLX98qLD2cJOEiUBou+/lrGiIcwWAVx9LISQfvjhh7YJmaEz9I6Ojo4zgr0z\ndIAKK/1mX9T2N6ep93aMPf3Sxo9lzsybbLui728Y1ssSdvIhVbYQWVyh5rdfLs5sFUS9aZxuOMvo\nmKtRP9HjkazCtJWXNGMQpjWy+nqHNPNK6bcUKZ4sWANHwrKvS7us3IzGWmsp+upriNFqVXeu3hnq\n6KP0XrdYG6bEQ0rbR+rRlZSimL9+dF3ypG2gUqi3gdxXsTkCtqII1rVhpSJz/V0Ysn5X70/mdeLy\n1lY6mjeGOUrtbLFJbEO6gba7P8RZiZbqw1R7rw1C9AYZnAdMq42JqDmVZt8WmRrApbU+k88qYt6o\nePezcr/uI8aejmf9jEO9dHzArY9//OMAgPd89KM4Pg7Gp4sXQ+Ck9bTCSdAZekdHR8cZwV4ZOoGx\n4HWiQ090TBpLo5E3at5S1tH6hG84dBZ852hRMvZsS7z8ax3l8PXXdN2Fxjo7n37Npy3M3mYIpg+f\n4G/aBbtLfJijNX5U1kE5q2KnDNaZzmCtNZnOWT1IxkmuKSM3nbdkWRtpx5GdymmUcR2pf5pGQD1e\nHBOPrvjeH3kwRab6dA+N6JizuODQiEIBrjOBWWcIYgDQfS9WOsOjGaOxMmWjjaWWeojZ+gZxLr/O\nSJXFzZkeO2fxhVuzHZas3tZTmD1ByjCWKqybYz8v7Vi5bttHBuSZMdsmEpRcAVq+GpxMSbkotx46\ndkbqraZ5nH+7OyYG/Mp0zTMjj1CabXPpPW+0PJ1xFB4/UWbTp0t9q8PQCg89/HkAwHvf++8BAJ/+\n40/HAiT71cfkeI0T4RRULhG1MACl65KqRqTD+bjOWdr6oBmjElARurIMbdlQa3DZaXaxFcVB138q\nTjDVRX1AisfJ8nN1w3SBlEpRo/nQjMg2LddjfSb5QDKCMJo7miz20AHXVCT5wL6egLXUqH1UJ5P+\nWR7Igh8MixjmXRdOmVoo/JhB0pqITV4/kCt0ELPBkuNLp7+DW9C2WolbphhHKRPED1ft8Kh6N34K\nH5fge7VDrZ/XS6+9Ez70bBQxJycapjVdEBNF0D6ck4+4m327L1uAMqdOydQ0XuWRh4Yvy+SUKuWy\nxcBopUzF2OJURqryyULgVuTdBcyMQcJGaIz9D3z0A+H3Ax8EAKyuXSkznkzDUqCrXDo6OjrOCPbK\n0JnD1C+6YEW2OqTTnFpem+Kmu720mJBjFLsEuinnl/kvpV90LU8unejzrSxHD/MpcLrBQCs8aclO\nylqKJd4me9Jm3s/N651Ip5VyaLOlaBRVFjzO+fMzI6K4GU5z5LErJe+SZHQsUt25xuUCoxjgWuxK\nZwhxupyEaHAByjQsAhexeJO+YU0ge5QKa5vMOLpWoRNZcmzrF2G25maPjcTpk49bUu7W4aoGTydc\nLUwBjTlTndTNz/lOrmafMx7p7Ee59Aj//FQ1k4g05M/N77Zl7w4Yc4OLDpZXi4rpJu2zfsbr+l9U\nxcRwAbN7Nyx4Ms8uj7wzw4CHHg0M/L3vey8A4N77fz/Uk2//e7LJ+hZ0ht7R0dFxRnAKOvQ5MczF\nT1TrI9UyfOY56rmjfnD7J3CX7b22bQ0Xv+aRBe8a/jILK9CwJ2wpoVpeDKSU6wtTFOFSiwT5op0Q\neJezc3Csw9wL5fTEbAxdzyWtBCCyi7XoXcdhUaG/YjAVvaQPFJXJBNeO7jklGaJhTlmgyiBhAnQF\nturS2dauT021d9xGsaaTrjPzjcGYWiFoW/0SlX00bbaaM8thTG7CudXZZM+CdqkxRdrTio5y2NZp\nRVxbytMmefRcbANvcIw9ZnCbefqQ1nFjl1jUKNMqi147eXtabSYvs0Y3G7HwGG5BpMr+6fvvx3s/\nEHTmn3vwwVCSiuwZ+k1EZ+gdHR0dZwR00gDqj6syogcRNiL73N4q3Q1PRZdpF9yKMgG3plxdpt3Q\nZdoNX8LMT9uWaK8DOgAQ0buYuRa58dTQZdoNt6JMwK0pV5dpN3SZbi66yqWjo6PjjKAP6B0dHR1n\nBKcxoL/uFOrchi7TbrgVZQJuTbm6TLuhy3QTsXcdekdHR0fHE4Oucuno6Og4I9jbgE5ELyKijxDR\nx4jo1fuq18nwbCL6LSL6EBF9kIi+V87fRUS/QUR/KL93noJsIxG9l4h+RY6fS0TvlPZ6k2zQvW+Z\n7iCitxDRHxDRh4noBafdVkT0P8qz+wAR/RwRndt3WxHRPyeizxLRB5Jz1XahgJ8U2d5PRF+9Z7n+\nV3l+7yeiXySiO5JrrxG5PkJE37gvmZJr30dETERPleO9tFVLJiL6HmmrDxLRTyTnn/B2umlg5if8\nH0Lki/8A4EsBHAD4PQBfsY+6nRz3APhq+fs2AB8F8BUAfgLAq+X8qwH8+CnI9ncA/CsAvyLHbwbw\nMvn7pwF81ynI9AYAf0v+PgBwx2m2FYBnAvg4gPNJG71y320F4C8D+GoAH0jOVdsFwIsB/BrCIsPn\nA3jnnuX6zwEs5O8fT+T6CnkPDwE8V97PcR8yyflnA/h1APcCeOo+26rRTv8ZgN8EcCjHX7TPdrpp\n97aXSoAXAPj15Pg1AF5z6jcP/DKAvwrgIwDukXP3APjInuV4FoC3A/g6AL8iHfpzyYuYtd+eZHqK\nDJ7kzp9aW8mA/kkAdyGErfgVAN94Gm0F4DluQKi2C4B/BuDbaun2IZe79l8CeKP8nb2DMri+YF8y\nAXgLgD8P4BPJgL63tqo8vzcD+IZKur210834ty+Vi76Iivvk3KmBiJ4D4KsAvBPA05n5frn0AICn\n71mcfwLgBxCjPNwN4AvMtj3EabTXcwE8COBfiCroZ4joIk6xrZj5UwD+IYA/BnA/gEcAvBun31ZA\nu11upb7/HQgMGDhFuYjoJQA+xcy/5y6dZlv9WQD/qaju/i0Rfc0tINOJ8aQ0ihLRJQC/AOBvM/Oj\n6TUOn+G9uf4Q0TcD+Cwzv3tfde6IBcK09J8y81chhGzIbB+n0FZ3AngJwsfmGQAuAnjRvurfFftu\nl11ARD+MsLfIG09ZjgsAfgjA3ztNOSpYIMz8ng/g7wJ4M9GJouPdEtjXgP4pBJ2Z4llybu8goiXC\nYP5GZn6rnP4MEd0j1+8B8Nk9ivS1AL6FiD4B4OcR1C6vBXAHEWk0zNNor/sA3MfM75TjtyAM8KfZ\nVt8A4OPM/CAzrwC8FaH9TrutgHa7nHrfJ6JXAvhmAC+Xj81pyvWnET7Ivyd9/lkA3kNEX3yKMgGh\nv7+VA34HYbb81FOW6cTY14D+uwC+TLwRDgC8DMDb9lS3Qb64rwfwYWb+R8mltwF4hfz9CgTd+l7A\nzK9h5mcx83MQ2uXfMPPLAfwWgG89DZlErgcAfJKIvlxOfT2AD+EU2wpB1fJ8Irogz1JlOtW2ErTa\n5W0A/hvx4Hg+gEcS1cwTDiJ6EYI671uY+bHk0tsAvIyIDonouQC+DMDvPNHyMPPvM/MXMfNzpM/f\nh+Co8ABOt61+CcEwCiL6swhOAJ/DKbXTDWNfynoEC/ZHEazEP3waBgMAfwlhKvx+AO+Tfy9G0Fm/\nHcAfIli67zol+V6I6OXypQgd52MA/jXE+r5neb4SwLukvX4JwJ2n3VYA/icAfwDgAwD+JYL3wV7b\nCsDPIejwVwgD0ne22gXBwP1T0u9/H8Dz9izXxxB0wNrffzpJ/8Mi10cAfNO+ZHLXP4FoFN1LWzXa\n6QDAz0q/eg+Ar9tnO92sf32laEdHR8cZwZPSKNrR0dFxFtEH9I6Ojo4zgj6gd3R0dJwR9AG9o6Oj\n44ygD+gdHR0dZwR9QO/o6Og4I+gDekdHR8cZQR/QOzo6Os4I/n+1rQT/e/OyiwAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b604c2fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bYcNLJZpoCD6fdmmuqdTeOhSrcnYASl69oZrcrvLiXXP5niBlRMkNlmSODL8t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\n6B0dHR1nBP8/gZMEEOgimYYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b13f28a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ylbkY8AdSHc1kW2BaXWO/QmnnIF2U22/Uw2kstGjK+GSnj2kZ81KMiNnsJ7so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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b13d7d610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vis.visualization import visualize_cam\n",
    "\n",
    "for i, modifier in enumerate(modifiers):\n",
    "    heatmap = visualize_cam(model, layer_idx=-1, filter_indices=0, \n",
    "                            seed_input=bgr_img, grad_modifier=modifier)\n",
    "    plt.figure()\n",
    "    plt.title(titles[i])\n",
    "    # Overlay is used to alpha blend heatmap onto img.\n",
    "    plt.imshow(overlay(img, heatmap, alpha=0.7))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This makes sense. In order to turn right, the left part of the lane contributes the most towards it. I am guessing it is attending to the fact that it curves left and so changing it to curve right would make the network increase the steering angle.\n",
    "\n",
    "The `maintain_steering` visualization shows that its current decision is mostly due to the object in the right corner. This is an undesirable behavior which visualizations like these can help you uncover.\n",
    "\n",
    "The `left steering` case is intuitive as well. Interestingly, the objects in the room in the far right also provide it a cue to turn left. This means that, even without the lane marker, the network will probably turn away from obstacles. Lets put this hypothesis to test. Using my awesome photo editing skills, I will remove the lane marker.\n",
    "\n",
    "Lets see the predicted output first."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicted -0.998632967472\n"
     ]
    },
    {
     "data": {
      "image/png": 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zFGRu+UXoEx1QlucGOV2KqxXJLSJA8yao9hKThlyva0WvrahC7q+Z94vri8mr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\nEgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b60efbc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = utils.load_img('images/blank.png', target_size=(FRAME_H, FRAME_W))\n",
    "plt.imshow(img)\n",
    "\n",
    "# Convert to BGR, create input with batch_size: 1.\n",
    "bgr_img = utils.bgr2rgb(img)\n",
    "img_input = np.expand_dims(img_to_array(bgr_img), axis=0)\n",
    "img_input.shape\n",
    "\n",
    "pred = model.predict(img_input)[0][0]\n",
    "print('Predicted {}'.format(pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As predicted, it has a left steering output. Lets find out if those objects have anything to do with it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f5b13eea610>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Peed5vQCesZgP84jqRXxam8+6vTvtNtRSBou/JIdd36OJ0CdNmjTphtC1I/Qt90X/cwlv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\n5x4ZicirAHwZgDcDeLmqvrdfeh+Al18zO38fwN9FJI97KYC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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5bd4497f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We want to use grad_modifier='small_values' to see what is resposible for maintaining current prediction.\n",
    "heatmap = visualize_cam(model, layer_idx=-1, filter_indices=0, \n",
    "                        seed_input=bgr_img, grad_modifier='small_values')\n",
    "plt.imshow(overlay(img, heatmap, alpha=0.7))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As hypothesized, those objects indeed cause the toy car to go left.\n",
    "\n",
    "> *This single example already provides some pretty good insight into network behavior. If your toy self driving car makes a mistake, we can easily use that example to glean why and add counter examples to the training set to correct that behavior.*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
